About this Abstract |
Meeting |
2020 TMS Annual Meeting & Exhibition
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Symposium
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Characterization: Structural Descriptors, Data-Intensive Techniques, and Uncertainty Quantification
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Presentation Title |
Parametric Models for Crystallographic Texture: Estimation and Uncertainty Quantification |
Author(s) |
Stephen R. Niezgoda, James Matuk, Oksana Chkrebtii |
On-Site Speaker (Planned) |
Stephen R. Niezgoda |
Abstract Scope |
An Orientation Distribution Function (ODF) describes the orientation of crystals in a polycrystalline material. While non-parametric kernel density estimation provides a quick method for estimating an ODF, there is limited interpretability. In this talk, we instead propose that an ODF takes a parametric form as a mixture of symmetric Bingham distributions. We treat the number of components, the mixture weights, and the scale and location parameters that determine the symmetric Bingham distribution as random variables through the Bayesian paradigm. Posterior distribution inference of the parameters through Bayesian methodology allows for interpretability and structured uncertainty quantification of the parameters of interest. We will additionally discuss the associated reversible jump Markov chain Monte Carlo algorithm which allows one to sample from the target posterior distribution. We will conclude with analyses of various data sets with interpretations of parameters of interest and a comparison with kernel density estimation methods. |
Proceedings Inclusion? |
Planned: Supplemental Proceedings volume |